101121551949600 has 4320 divisors, whose sum is σ = 482642222920704. Its totient is φ = 20132847820800.

The previous prime is 101121551949589. The next prime is 101121551949611. The reversal of 101121551949600 is 6949155121101.

101121551949600 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 1 + 551 + 9 + 4 + 96 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101121551949589) and next prime (101121551949611).

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 146340885255 + ... + 146340885945.

Almost surely, 2^{101121551949600} is an apocalyptic number.

101121551949600 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 101121551949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241321111460352).

101121551949600 is an abundant number, since it is smaller than the sum of its proper divisors (381520670971104).

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

101121551949600 is a wasteful number, since it uses less digits than its factorization.

101121551949600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 101121551949600 in words is "one hundred one trillion, one hundred twenty-one billion, five hundred fifty-one million, nine hundred forty-nine thousand, six hundred".