101020110100000 has 2592 divisors, whose sum is σ = 344757026138112. Its totient is φ = 28819929600000.

The previous prime is 101020110099989. The next prime is 101020110100051. The reversal of 101020110100000 is 1011020101.

It is a super-2 number, since 2×101020110100000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 528901099905 + ... + 528901100095.

It is an arithmetic number, because the mean of its divisors is an integer number (133008111936).

Almost surely, 2^{101020110100000} is an apocalyptic number.

101020110100000 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 101020110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172378513069056).

101020110100000 is an abundant number, since it is smaller than the sum of its proper divisors (243736916038112).

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

101020110100000 is a wasteful number, since it uses less digits than its factorization.

101020110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101020110100000 its reverse (1011020101), we get a palindrome (101021121120101).

The spelling of 101020110100000 in words is "one hundred one trillion, twenty billion, one hundred ten million, one hundred thousand".