1020100212000 has 576 divisors, whose sum is σ = 3763387764864. Its totient is φ = 261457459200.

The previous prime is 1020100211947. The next prime is 1020100212041. The reversal of 1020100212000 is 2120010201.

1020100212000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110551387 + ... + 110560613.

It is an arithmetic number, because the mean of its divisors is an integer number (6533659314).

Almost surely, 2^{1020100212000} is an apocalyptic number.

1020100212000 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 1020100212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881693882432).

1020100212000 is an abundant number, since it is smaller than the sum of its proper divisors (2743287552864).

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

1020100212000 is a wasteful number, since it uses less digits than its factorization.

1020100212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9378 (or 9357 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020100212000 its reverse (2120010201), we get a palindrome (1022220222201).

It can be divided in two parts, 1020100 and 212000, that added together give a square (1232100 = 1110²).

The spelling of 1020100212000 in words is "one trillion, twenty billion, one hundred million, two hundred twelve thousand".