101021110120000 has 280 divisors, whose sum is σ = 286392162921920. Its totient is φ = 34622864640000.

The previous prime is 101021110119997. The next prime is 101021110120009. The reversal of 101021110120000 is 21011120101.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101021110120009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 764613946 + ... + 764746054.

Almost surely, 2^{101021110120000} is an apocalyptic number.

101021110120000 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 101021110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143196081460960).

101021110120000 is an abundant number, since it is smaller than the sum of its proper divisors (185371052801920).

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

101021110120000 is an equidigital number, since it uses as much as digits as its factorization.

101021110120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134879 (or 134854 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101021110120000 its reverse (21011120101), we get a palindrome (101042121240101).

The spelling of 101021110120000 in words is "one hundred one trillion, twenty-one billion, one hundred ten million, one hundred twenty thousand".