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101202121020 = 2235711133745541
BaseRepresentation
bin101111001000000011…
…1011101000100111100
3100200012221122102021110
41132100013131010330
53124230220333040
6114254104402020
710211611556340
oct1362007350474
9320187572243
10101202121020
1139a12a60450
1217744476310
13970a897460
144c80983620
152974a43980
hex17901dd13c

101202121020 has 384 divisors, whose sum is σ = 390754732032. Its totient is φ = 18886348800.

The previous prime is 101202121003. The next prime is 101202121021. The reversal of 101202121020 is 20121202101.

101202121020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 101202120987 and 101202121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202121021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2199450 + ... + 2244990.

It is an arithmetic number, because the mean of its divisors is an integer number (1017590448).

Almost surely, 2101202121020 is an apocalyptic number.

101202121020 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 101202121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195377366016).

101202121020 is an abundant number, since it is smaller than the sum of its proper divisors (289552611012).

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

101202121020 is a wasteful number, since it uses less digits than its factorization.

101202121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45621 (or 45619 counting only the distinct ones).

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

Adding to 101202121020 its reverse (20121202101), we get a palindrome (121323323121).

It can be divided in two parts, 101202 and 121020, that added together give a palindrome (222222).

The spelling of 101202121020 in words is "one hundred one billion, two hundred two million, one hundred twenty-one thousand, twenty".