101120100101010 has 128 divisors (see below), whose sum is σ = 272314996162560. Its totient is φ = 26699303913408.

The previous prime is 101120100101003. The next prime is 101120100101071. The reversal of 101120100101010 is 10101001021101.

It is a super-2 number, since 2×101120100101010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101120100100983 and 101120100101001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176112207 + ... + 176685453.

It is an arithmetic number, because the mean of its divisors is an integer number (2127460907520).

Almost surely, 2^{101120100101010} is an apocalyptic number.

101120100101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120100101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136157498081280).

101120100101010 is an abundant number, since it is smaller than the sum of its proper divisors (171194896061550).

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

101120100101010 is a wasteful number, since it uses less digits than its factorization.

101120100101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579709 (or 579703 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101120100101010 its reverse (10101001021101), we get a palindrome (111221101122111).

The spelling of 101120100101010 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, one hundred one thousand, ten".