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101202101020212 = 223175910169471481
BaseRepresentation
bin10111000000101011110011…
…010010000010011000110100
3111021022211022102110112011120
4113000223303102002120310
5101231043400330121322
6555123334155303540
730213416256211533
oct2700536322023064
9437284272415146
10101202101020212
112a27862a768905
12b42578aa4abb0
134461417ab7c7a
141adc2ca3b031a
15ba7773b74a5c
hex5c0af3482634

101202101020212 has 48 divisors (see below), whose sum is σ = 236296217203200. Its totient is φ = 33711468756480.

The previous prime is 101202101020151. The next prime is 101202101020219. The reversal of 101202101020212 is 212020101202101.

It is a junction number, because it is equal to n+sod(n) for n = 101202101020191 and 101202101020200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202101020219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214411512 + ... + 214882992.

It is an arithmetic number, because the mean of its divisors is an integer number (4922837858400).

Almost surely, 2101202101020212 is an apocalyptic number.

101202101020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202101020212 is an abundant number, since it is smaller than the sum of its proper divisors (135094116182988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101202101020212 is a wasteful number, since it uses less digits than its factorization.

101202101020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483416 (or 483414 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101202101020212 its reverse (212020101202101), we get a palindrome (313222202222313).

The spelling of 101202101020212 in words is "one hundred one trillion, two hundred two billion, one hundred one million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 1759 3518 5277 7036 10169 10554 20338 21108 30507 40676 61014 122028 471481 942962 1414443 1885924 2828886 5657772 17887271 35774542 53661813 71549084 107323626 214647252 829335079 1658670158 2488005237 3317340316 4794490289 4976010474 9588980578 9952020948 14383470867 19177961156 28766941734 57533883468 8433508418351 16867016836702 25300525255053 33734033673404 50601050510106 101202101020212