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101202001202100 = 2235219791019220553
BaseRepresentation
bin10111000000101011101101…
…010101010000101110110100
3111021022211001110122020110110
4113000223231111100232310
5101231043144301431400
6555123320232023020
730213413634604611
oct2700535525205664
9437284043566413
10101202001202100
112a278589390aa7
12b425761531a70
1344614002091b6
141adc2bb029508
15ba776a008e50
hex5c0aed550bb4

101202001202100 has 288 divisors, whose sum is σ = 312431503104000. Its totient is φ = 25218303851520.

The previous prime is 101202001202089. The next prime is 101202001202173. The reversal of 101202001202100 is 1202100202101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 458745424 + ... + 458965976.

It is an arithmetic number, because the mean of its divisors is an integer number (1084831608000).

Almost surely, 2101202001202100 is an apocalyptic number.

101202001202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202001202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156215751552000).

101202001202100 is an abundant number, since it is smaller than the sum of its proper divisors (211229501901900).

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

101202001202100 is a wasteful number, since it uses less digits than its factorization.

101202001202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221687 (or 221680 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101202001202100 its reverse (1202100202101), we get a palindrome (102404101404201).

Subtracting from 101202001202100 its reverse (1202100202101), we obtain a palindrome (99999900999999).

It can be divided in two parts, 101202001 and 202100, that added together give a palindrome (101404101).

The spelling of 101202001202100 in words is "one hundred one trillion, two hundred two billion, one million, two hundred two thousand, one hundred".