102120001202000 has 160 divisors (see below), whose sum is σ = 251277979680000. Its totient is φ = 40129015872000.

The previous prime is 102120001201963. The next prime is 102120001202069. The reversal of 102120001202000 is 202100021201.

It is a happy number.

It is a congruent number.

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, 178011626 + ... + 178584374.

It is an arithmetic number, because the mean of its divisors is an integer number (1570487373000).

Almost surely, 2^{102120001202000} is an apocalyptic number.

102120001202000 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 102120001202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125638989840000).

102120001202000 is an abundant number, since it is smaller than the sum of its proper divisors (149157978478000).

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

102120001202000 is a wasteful number, since it uses less digits than its factorization.

102120001202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574342 (or 574326 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102120001202000 its reverse (202100021201), we get a palindrome (102322101223201).

The spelling of 102120001202000 in words is "one hundred two trillion, one hundred twenty billion, one million, two hundred two thousand".