101021000010100 has 72 divisors (see below), whose sum is σ = 233647760461248. Its totient is φ = 37779571392000.

The previous prime is 101021000010059. The next prime is 101021000010143. The reversal of 101021000010100 is 1010000120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196511902 + ... + 197025301.

It is an arithmetic number, because the mean of its divisors is an integer number (3245107784184).

Almost surely, 2^{101021000010100} is an apocalyptic number.

101021000010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021000010100 is an abundant number, since it is smaller than the sum of its proper divisors (132626760451148).

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

101021000010100 is a wasteful number, since it uses less digits than its factorization.

101021000010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393537385 (or 393537378 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101021000010100 its reverse (1010000120101), we get a palindrome (102031000130201).

The spelling of 101021000010100 in words is "one hundred one trillion, twenty-one billion, ten thousand, one hundred".