102120212001020 has 48 divisors (see below), whose sum is σ = 216014244526080. Its totient is φ = 40550650852416.

The previous prime is 102120212000981. The next prime is 102120212001131. The reversal of 102120212001020 is 20100212021201.

It is a junction number, because it is equal to n+sod(n) for n = 102120212000986 and 102120212001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30148049 + ... + 33363831.

It is an arithmetic number, because the mean of its divisors is an integer number (4500296760960).

Almost surely, 2^{102120212001020} is an apocalyptic number.

102120212001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120212001020 is an abundant number, since it is smaller than the sum of its proper divisors (113894032525060).

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

102120212001020 is a wasteful number, since it uses less digits than its factorization.

102120212001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227354 (or 3227352 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102120212001020 its reverse (20100212021201), we get a palindrome (122220424022221).

The spelling of 102120212001020 in words is "one hundred two trillion, one hundred twenty billion, two hundred twelve million, one thousand, twenty".