102011120211020 has 96 divisors (see below), whose sum is σ = 227275239877056. Its totient is φ = 38327968972800.

The previous prime is 102011120211019. The next prime is 102011120211127. The reversal of 102011120211020 is 20112021110201.

It is a junction number, because it is equal to n+sod(n) for n = 102011120210986 and 102011120211004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439926710 + ... + 440158530.

It is an arithmetic number, because the mean of its divisors is an integer number (2367450415386).

Almost surely, 2^{102011120211020} is an apocalyptic number.

102011120211020 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 102011120211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113637619938528).

102011120211020 is an abundant number, since it is smaller than the sum of its proper divisors (125264119666036).

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

102011120211020 is a wasteful number, since it uses less digits than its factorization.

102011120211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234411 (or 234409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102011120211020 its reverse (20112021110201), we get a palindrome (122123141321221).

The spelling of 102011120211020 in words is "one hundred two trillion, eleven billion, one hundred twenty million, two hundred eleven thousand, twenty".